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Leibniz-Handschriften zur Physica LH 37, 3, fol. 78v

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.81.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 77r); this page is its left half.

The machine reads it as

  1. pccud fit A F = XFL, AE = GH a GH - GH
  2. AL
  3. G1
  4. suncttur BFLF et ex medio
  5. puncto ipsius AP. ds
  6. Ex puncto Pmedio ipsius LF, radio PAt
  7. describatur circumfcientia circuli, cui occurat
  8. . LS perpendiculariter erecta ex L. ajo, ut aequilibrim
  9. sit potentias A. B. fore in duplicata ratione CA, SL. Cm
  10. Cum enum sit LP = PF erit Fq = AL, et Lg- AF ergo F SL =
  11. L ALQ = AF AL ergo A(= DE) = CA
  12. videndum an posita LF FN, sit C
  13. LN
  14. 5
  15. F seu an SL- 2CF
  16. sed hoc solsunt, ideunite. Ergo ex demum casu posit,
  17. AB AL B, etAC BC ut aequilibrium sit, opus
  18. est fieri
  19. AC= SL. idque problema per analy sui solvi
  20. daba
  21. potest quaecunque ponatur ratio ipsamno AC, CB. et
  22. posita AC= CB Etingentu ex datis similiter ex
  23. data ratione pondem ett ipsa AF, vel ipsa CF. et
  24. seu exda ratione implnori poterit CB.
  25. po CB+ a. CF = b eut FB = a- b ua si dividatur
  26. QFZ b Ejusque dimidium PF
  27. erit S a. b- b - 2 a
  28. 1a- 42gav 92aV
  29. E
  30. Ac
  31. habu
  32. Ergo PA: P5
  33. 25 a b erit
  34. et SL -dIS- PL 2.
  35. seu
  36. 1+- 3 a6 2b- CA= a
  37. in AC impingit tachium alius rectis CB. quo sublato
  38. et alter AD. stollitur lv Dantu 2 recto AC. et
  39. CB aequales. datur et recta CF. et et AF = FB. Datur
  40. ergo et angulus CBF vel CAF. Attollatur BC. in BD.
  41. per altitudinem DE, infinite parvam. Pondus quod me.
  42. esse fixum intelligebatur transtatum erit in G per altitudines
  43. GH. etiam infuite parvam quaeritur ratio DE ad GH.
  44. producatur DC dum oaugrat ipsi AB in L. patet rectam
  45. lineis veris expressa.
  46. Be. esse ipsi BC re perpendicularem quia BC. et BM,
  47. cui plipendicularis et conccidant, sive quod idem est
  48. differentiam habent assignato quavis minorem
  49. Endem Ge producta in N est perpendiculeris
  50. Caelerum ut inveniamus GH procedamus velut si linen DE esset
  51. ipsi AC. ve
  52. vea. dutaeque AF=FB et CF Ante omnia B
  53. ergo posita DE = l, erit CE=
  54. eodem modo G H =
  55. Hc
  56. et
  57. EF
  58. L
  59. CE FL
  60. CF -eFG Ergo AA = AF+ FL
  61. FN
  62. LL
  63. e
  64. num eA, in rectungulum A, CL AF B et DR = CF + 1. quadrulum illis AR = AF 4+ 2FL AFY FL
  65. AFF CF
  66. Ex 2ECAFE DR 1+CF
  67. EEF
  68. e+ Ap2
  69. et stum DR = CF + 2 CF + 1. Denique AG= AC.
  70. AF erit AD = HLAF + FL AF + FL
  71. GHC quadatur, fi et ncrice lCF + ECF
  72. PX
  73. I D AG CF + AF2
  74. pet rGtC eF multi plicetur per Crucem
  75. + (AB 2 AECF + ACF = AF CF +CFZ Z FL, AFCF _F+ (FL e P2GH AF + 2Gp e
  76. et pstetA sH. C+
  77. (qGHTLAF+(AGH CF 2
  78. (2 At. GH ) (G H ) +
  79. 2H EL (2GH F) 1 (GHAF) + GN cF
  80. (er
  81. V et R
  82. esque perpendi
  83. x
  84. vel
  85. e
  86. Duae sunto bila
  87. cad
  88. s
  89. Ergo
  90. a2 - 3a 62 + 2b = at - b a
  91. Ergo - ab + b 0. sive a=
  92. in sit impossibile nisi
  93. In A cB
  94. AC, B
  95. dant
  96. minuum
  97. rectae
  98. punctus s. B.
  99. CBC in sunag ectam
  100. ex
  101. perper
  102. non potest
  103. ves aequaibum
  104. elit
  105. et ipsis
  106. ac un
  107. et A = B.
  108. BC. ascende
  109. oiculariter er
  110. Elcontuu
  111. b
  112. erg
  113. 21B

Cite

Leibniz-Handschriften zur Physica LH 37, 3, fol. 78v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068532:0152?run=74